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Finding the Fourth Proportional to 567,398.70, 851,040.45 and 193,416.30

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Solution

The fourth proportional to 567,398.70, 851,040.45 and 193,416.30 is: 290,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,398.70 : 851,040.45 = 193,416.30 : x
  2. Step 2: Convert to fraction form
    567,398.70/851,040.45 = 193,416.30/x
  3. Step 3: Cross multiply
    567,398.70x = 851,040.45 × 193,416.30
  4. Step 4: Simplify right side
    567,398.70x = 164,605,094,989.34
  5. Step 5: Solve for x
    x = 164,605,094,989.34/567,398.70
  6. Step 6: Final answer
    x = 290,104.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.